The Geometry of Supersymmetric Quantum Mechanics
| dc.creator | Hull, C. M. | |
| dc.date | 1999-10-04 | |
| dc.date.accessioned | 2026-07-07T04:27:08Z | |
| dc.date.available | 2026-07-07T04:27:08Z | |
| dc.description | One-dimensional sigma-models with N supersymmetries are considered. For conventional supersymmetries there must be N-1 complex structures satisfying a Clifford algebra and the constraints on the target space geometry can be formulated in terms of these. In the cases in which the complex structures are simultaneously integrable, a conventional extended superspace formulation is given, with the geometry determined by a 2-form potential for N=2, by a 1-form potential for N=3 and a scalar potential for N=4; for N>4 it is given by a scalar potential satisfying differential constraints. This gives explicit constructions of models with N=3 but not N=4 supersymmetry and of N=4 models in which the complex structures do not satisfy a quaternionic algebra. Generalisations with central terms in the superalgebra are also considered. | |
| dc.description | 36 pages, phyzzx macro | |
| dc.identifier | https://arxiv.org/abs/hep-th/9910028 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9910028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56306 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Geometry of Supersymmetric Quantum Mechanics | |
| dc.type | text |